The profit that the vendor makes per day by selling x pretzels is given by the function p(x) = -0.004 x^2 + 2.8x - 350. find the number of pretzels that must be sold to maximize profit a) 325 pretzels b) 340 pretzels c) 350 pretzels

Option 'c' is correct.

Step-by-step explanation:

Since we have given that

So, we will first derivative it w.r.t to x, we get that

For critical points, we get that

Now, we will check for maximum profit.

So, we will find Second derivation and then put the value of x = 350 in it.

So, it will give maximum profit.

Hence, At 350 pretzels, there must be maximum profit.

Therefore, Option 'c' is correct.

correct answers below:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)